Answer:
Angle 1: 34°
Angle 2: 146°
Angle 3: 146°
Angle 4: 34°
Angle 5: 34°
Angle 6: 146°
Angle 7: 146°
Angle 8: 34°
Explanation:
Angle 1: because angle 1 and 5 are corresponding, we know that angle 1 is 34°.
Angle 2: because a line is 180°, we can set angle 1 and 2 equal to 180° ( 34+x+15=180) which when solved, x = 131. but you need to plug it back into the equation of angle 2 to find out how many degrees it is. ( 131+15=146 ) So angle 2 is 146°
Angle 3: angles 2 and 3 are vertical angles, so angle 3 is 146°
Angle 4: angles 1 and 4 are vertical, so angle 4 is 146°
Angle 5: is given
Angle 6: angles 2 and 6 are corresponding so they are equal, angle 6 is 146°
Angle 7: angles 6 and 7 are vertical so angle 7 is 146°
Angle 8: angles 5 and 8 are vertical of each other so they are equal, angle 8 is 34°